$$0.5x+\frac{0.2x+0.7}{0.3}=9.5+\frac{x+2}{9}$$
$x=7$
$$4.5x+9\times \frac{0.2x+0.7}{0.3}=85.5+x+2$$
$$4.5x+9\times \frac{0.2x+0.7}{0.3}=87.5+x$$
$$4.5x+9\left(\frac{0.2x}{0.3}+\frac{0.7}{0.3}\right)=87.5+x$$
$$4.5x+9\left(\frac{2}{3}x+\frac{0.7}{0.3}\right)=87.5+x$$
$$4.5x+9\left(\frac{2}{3}x+\frac{7}{3}\right)=87.5+x$$
$$4.5x+6x+9\times \frac{7}{3}=87.5+x$$
$$4.5x+6x+\frac{9\times 7}{3}=87.5+x$$
$$4.5x+6x+\frac{63}{3}=87.5+x$$
$$4.5x+6x+21=87.5+x$$
$$10.5x+21=87.5+x$$
$$10.5x+21-x=87.5$$
$$9.5x+21=87.5$$
$$9.5x=87.5-21$$
$$9.5x=66.5$$
$$x=\frac{66.5}{9.5}$$
$$x=\frac{665}{95}$$
$$x=7$$
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